Finding the Third Proportional to 2,003.06 and 4,206.09
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Solution
The third proportional to 2,003.06 and 4,206.09 is: 8,832.09
Step by Step Solution
- Step 1: Write the proportion equation
2,003.06 : 4,206.09 = 4,206.09 : x - Step 2: Convert to fraction form
2,003.06/4,206.09 = 4,206.09/x - Step 3: Cross multiply
2,003.06x = 4,206.09 × 4,206.09 - Step 4: Simplify right side
2,003.06x = 17,691,224.63 - Step 5: Solve for x
x = 17,691,224.63/2,003.06 - Step 6: Final answer
x = 8,832.09
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.